A barrel of water is 7/10 full. After 243 litres are removed, the barrel is 1/4 full. How many litres does the barrel hold when its full?
Let y = full barrel:
7y/10 - 243 = y/4
Multiply by each denominator to all numbers:
28y - 9720 = 10y
Rearrange:
18y = 9720
And solve:
y = 540 litres